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Finding the Fourth Proportional to 214.81, 296.36 and 127.46

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Solution

The fourth proportional to 214.81, 296.36 and 127.46 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.36 = 127.46 : x
  2. Step 2: Convert to fraction form
    214.81/296.36 = 127.46/x
  3. Step 3: Cross multiply
    214.81x = 296.36 × 127.46
  4. Step 4: Simplify right side
    214.81x = 37,774.05
  5. Step 5: Solve for x
    x = 37,774.05/214.81
  6. Step 6: Final answer
    x = 175.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.